Use the information given about the angle 0, 0< 0 < 2n, to find the exact value of the indicated trigonometric function. 4 9) cos 0 5'

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A: Answer and explanation is given below...

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Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1 ii. Find the interval of convergence of the power…

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Q: 6. Use Laplace transforms to solve the initial value problems: (a) x" + 9x = 0; x(0) = 3, x'(0) = 4…

A: Given x''+9x=0, x0=3, x'0=4

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A: We want to find the correct option.

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - x from above inside x = y2,x = 4.

A: Answer is in step 2.

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Q: Write the quotient in standard form. 17 1 - i

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Q: Using exact differential equation, determine the solution of: dy y-- 2x = 3y2 – 2 when y = 1 and x =…

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Q: or Integral Using either Comparison Test Test, determine whether the series converge or diverge. 4 +…

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Q: If uxv=uxw, u 0 then O None of the choices O v=w+ ku u=v+ kw O w=u+ kv

A: Let a→ &amp; b→ be two non-zeros vectors. Then a→ &amp; b→ are parallel if for some scaler k we have…

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A: We have to find area bounded by the given curve.

Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

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Q: Suppose f(x) is a function that satisfies the following conditions: f(15) = 20, f' (15) = 2. Also…

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Q: (-1)" V2n2 + 5 n er series (x + 1)" n=1

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Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: 7. F- dr from (0,0) to (3,9) along the curve y=x' if F(x, y, z) = 4 xyi + 3xy'j Evaluate

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Q: 3- Vn 3 n=1

A: Convergent

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Q: Determine whether the following series is convergent or divergent 3- Vn (a) 2 n=1

A: The given series is: ∑n=1∞3-n4n34,an=3-n4n34, n≥1f(x)=3-n4n34

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Q: 2. Use integration by parts to evaluate the following. (a) Sxtan-1x dx

A: ∫x tan-1x dxusing integration by parts∫u.v = u∫v - ∫u'∫vu =tan-1x , v= x∫tan-1x . x dx=tan-1x∫x dx -…

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A: I am attaching image so that you understand each and every step.

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Q: 4. E+sec"x+1\dx

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: 2. Consider the sequence (n+2)!. n=1 a. Show that the given sequence is monotone. b. Use the…

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Q: Given the series, is it convergent or divergent? (5-4(In n))" %3D2 3n (V5-In n)"

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Q: Test for exactness and find the general solution of: (cos2y – 3x²y²)dx + (cos2y – 2xsin2y – 2x³y)dy…

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Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1

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